Indicate the correct decision ("reject or "do not reject the null hypothesis), the reason for it, and write an appropriate conclusion. ) Alpha (Enter an exact number as an integer, fraction, or decimal.) a = (i) Decision: O reject the nuil hypothesis do not reject the null hypothesis () Reason for decision: O Since a < p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. O Since a > p-value, we reject the null hypothesis. O Since a < p-value, we do not reject the null hypothesis. (iv) Conclusion: There is sufficient evidence to conclude that the starting age for smoking in this generation is less than 19. There is not sufficient evidence to conclude that the starting age for smoking in this generation is less than 19.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 37 smokers of this generation was done to
see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level?
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
O Part (a)
O Part (b)
O Part (c)
O Part (d)
O Part (e)
O Part (f)
O Part (g)
O Part (h)
Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.
(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
a =
(ii) Decision:
O reject the null hypothesis
O do not reject the null hypothesis
(iii) Reason for decision:
O Since a < p-value, we reject the null hypothesis.
O Since a > p-value, we do not reject the null hypothesis.
O Since a > p-value, we reject the null hypothesis.
O Since a < p-value, we do not reject the null hypothesis.
(iv) Conclusion:
O There is sufficient evidence to conclude that the starting age for smoking in this generation is less than 19.
O There is not sufficient evidence to conclude that the starting age for smoking in this generation is less than 19.
Transcribed Image Text:From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 37 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) O Part (c) O Part (d) O Part (e) O Part (f) O Part (g) O Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) a = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since a < p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. O Since a > p-value, we reject the null hypothesis. O Since a < p-value, we do not reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that the starting age for smoking in this generation is less than 19. O There is not sufficient evidence to conclude that the starting age for smoking in this generation is less than 19.
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